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Beliebt Rechnen >

integral of (12x^{3/4}-9x^{5/3})

Lösung

\int (12 x^{\frac{3}{4}} - 9 x^{\frac{5}{3}}) d x

Lösung

\frac{48}{7} x^{\frac{7}{4}} - \frac{27}{8} x^{\frac{8}{3}} + C

Schritte zur Lösung

\int 12 x^{\frac{3}{4}} - 9 x^{\frac{5}{3}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 12 x^{\frac{3}{4}} d x - \int 9 x^{\frac{5}{3}} d x

\int 12 x^{\frac{3}{4}} d x = \frac{48}{7} x^{\frac{7}{4}}

\int 9 x^{\frac{5}{3}} d x = \frac{27}{8} x^{\frac{8}{3}}

= \frac{48}{7} x^{\frac{7}{4}} - \frac{27}{8} x^{\frac{8}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{48}{7} x^{\frac{7}{4}} - \frac{27}{8} x^{\frac{8}{3}} + C

Graph

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